Fig. 3 | Neuroinformatics

Fig. 3

From: NeuroMorph: A Toolset for the Morphometric Analysis and Visualization of 3D Models Derived from Electron Microscopy Image Stacks

Fig. 3

The volume of the shaded region between faces f 1 and f 2 on the right is equal to the volume of the tetrahedron formed by face f 1 with the origin (labeled O) minus the volume of the tetrahedron formed by face f 2 with the origin. The signed volume of the first tetrahedron is positive because its normal vector points away from the origin, while the signed volume of the second tetrahedron is negative because its normal vector points towards the origin, and so the sum of the two signed volumes produces the desired volume of the region between the two faces

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